Question

Let f be a function from R to R (R means set of Real numbers) defined as $f\left(x\right)=(3-x^3{)}^{\frac{1}{3}}$ then fof(x) is

Answer 1

The given function is $f\left(x\right)=(3-x^3{)}^{\frac{1}{3}}$
$fof\left(x\right)=f\left(f\right(x\left)\right)=(3-f(x){)}^{\frac{1}{3}}=[3-(3-x^3){]}^{\frac{1}{3}}=[3-3+x^3{]}^{\frac{1}{3}}=x^{3\times \frac{1}{3}}=x$